6533b86ffe1ef96bd12cda7c
RESEARCH PRODUCT
Probability of mutually commuting n-tuples in some classes of compact groups
A. ErfanianFrancesco G. Russosubject
Settore MAT/02 - AlgebraSettore MAT/05 - Analisi MatematicaSettore MAT/03 - GeometriaMutually commuting n-tuples commutativity degree compact groups topological groupsdescription
In finite groups the probability that two randomly chosen elements commute or randomly ordered n−tuples of elements mutually commute have recently attracted interest by many authors. There are some classical results estimating the bounds for this kind of probability so that the knowledge of the whole structure of the group can be more accurate. The same problematic has been recently extended to certain classes of infinite compact groups in [2], obtaining restrictions on the group of the inner automorphisms. Here such restrictions are improved for a wider class of infinite compact groups.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-01-01 |